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Dynamic uncertainty propagation analysis framework for nonlinear control problem based on manifold learning and optimal polynomial method and its application on active suspension system 基于流形学习和最优多项式法的非线性控制问题动态不确定性传播分析框架及其在主动悬架系统中的应用
IF 2.8 3区 工程技术 Q2 ACOUSTICS Pub Date : 2024-09-02 DOI: 10.1177/10775463241276242
Jie Liu, Fei Ding, Jingzheng Wang, Jinhe Zhang, Jianguo Wu
A novel uncertainty propagation method based on manifold learning and optimal polynomial model is proposed to quantify and analyze the dynamic uncertainties of the nonlinear feedback control system. To deal with the multiple objectives and constraints of the nonlinear control problem, a barrier Lyapunov-function-based nonlinear filtered backstepping controller is developed and applied to active suspension system to obtain superior ride comfort performance under limited structural constraints. Considering the errors in the production, manufacturing, and assembly, the probability density function is employed to quantify the structural parameter uncertainties in the nonlinear control system. Moreover, to reveal the dynamic propagation mechanism of uncertainties in the system with nonlinearity, the manifold learning method is proposed to reduce the dimensionality of the dynamic system to avoid the complexity of uncertainty propagation. Simultaneously, data-driven optimal polynomial model is utilized to accurately approximate the internal mechanism of nonlinear filtered backstepping control system. Based on that, the response uncertainties of the nonlinear control system are accurately and quickly quantified through dynamic moment information and uncertain fluctuation space. Finally, an active suspension system with nonlinearities and uncertainties is developed to verify the effectiveness of the controller with improved ride comfort and better handling safety and the superiority of the framework in terms of efficiency and accuracy of the dynamic uncertainty propagation analysis for nonlinear control problem.
提出了一种基于流形学习和最优多项式模型的新型不确定性传播方法,用于量化和分析非线性反馈控制系统的动态不确定性。为处理非线性控制问题的多目标和多约束,开发了基于屏障 Lyapunov 函数的非线性滤波反步进控制器,并将其应用于主动悬架系统,从而在有限的结构约束条件下获得优异的驾乘舒适性。考虑到生产、制造和装配过程中的误差,采用概率密度函数来量化非线性控制系统中的结构参数不确定性。此外,为了揭示非线性系统中不确定性的动态传播机制,提出了流形学习方法来降低动态系统的维度,以避免不确定性传播的复杂性。同时,利用数据驱动的最优多项式模型精确逼近非线性滤波反步态控制系统的内部机制。在此基础上,通过动态力矩信息和不确定波动空间,准确、快速地量化了非线性控制系统的响应不确定性。最后,开发了一个具有非线性和不确定性的主动悬架系统,验证了该控制器在提高乘坐舒适性和操控安全性方面的有效性,以及该框架在非线性控制问题动态不确定性传播分析的效率和准确性方面的优越性。
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引用次数: 0
Multi-objective parameter optimization of a novel hydraulically interconnected suspension for tri-axle mining dump trucks 三轴矿用自卸车新型液压互联悬挂系统的多目标参数优化
IF 2.8 3区 工程技术 Q2 ACOUSTICS Pub Date : 2024-09-02 DOI: 10.1177/10775463241273019
Gangfeng Wang, Wanting Wang, Xuefeng Suo, Teng Du, Di Wang, Xiang Liu
The harsh working environment in the mining area has put strict requirements for the suspension system performance of mining dump trucks. To improve the anti-pitch and anti-roll ability of tri-axle mining dump trucks, a new type of hydraulically interconnected suspension system is proposed, including the left-right wheel interconnection in front axle and X-cross interconnection in mid-rear axle (X-HIS). The parameter sensitivity of X-HIS is analyzed, and the significant parameters are optimized. Specifically, a vehicle mechanical-hydraulic coupling model is established based on impedance matrix transfer method. The objective functions are obtained by combining the road spectral density matrix, and accuracy of the model is verified by the accumulator pressure experiment of the mining dump truck. Subsequently, the Morris method is applied to analyze the sensitivity of suspension parameters to the bounce, pitch, and roll modes vibration. The results indicate that the sensitive parameters are the initial pressure and volume of the front accumulator, the inner diameter of damping hole, the initial pressure of mid-rear accumulator, and the area ratio of upper and lower chamber of cylinder. The Pareto solution set shows that there is no conflict between the anti-pitch and anti-roll capabilities of X-HIS. The optimized X-HIS improves the ride comfort and anti-roll ability of the vehicle and balances the anti-pitch performance.
矿区恶劣的工作环境对矿用自卸车悬挂系统的性能提出了严格的要求。为提高三轴矿用自卸车的抗俯仰和抗侧翻能力,提出了一种新型液压互联悬架系统,包括前桥左右轮互联和中后桥(X-HIS)X交叉互联。分析了 X-HIS 的参数敏感性,并对重要参数进行了优化。具体而言,基于阻抗矩阵传递法建立了车辆机械液压耦合模型。结合道路频谱密度矩阵得到目标函数,并通过矿用自卸车蓄能器压力实验验证了模型的准确性。随后,应用 Morris 方法分析了悬架参数对弹跳、俯仰和滚动模态振动的敏感性。结果表明,敏感参数为前蓄能器的初始压力和体积、阻尼孔内径、中后蓄能器的初始压力以及气缸上下腔的面积比。帕累托解集表明,X-HIS 的抗俯仰和抗侧倾能力之间不存在冲突。优化后的 X-HIS 提高了车辆的驾乘舒适性和抗侧倾能力,平衡了抗俯仰性能。
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引用次数: 0
Thermo-elastic vibration analysis and optimization of a nanoresonator composed of a coupled nanotube system for acoustic liner application using the hybrid deep neural network–based white shark algorithm 利用基于混合深度神经网络的白鲨算法,对由耦合纳米管系统组成的纳米声纳进行热弹性振动分析和优化,用于声衬垫应用
IF 2.8 3区 工程技术 Q2 ACOUSTICS Pub Date : 2024-08-31 DOI: 10.1177/10775463241272934
TJ Prasanna Kumar, K Sivajibabu, B Durga Prasad
This study explores the potential of nanoresonator systems composed of coupled nanotubes with graphene nanoparticles for enhancing the performance of acoustic liners in aircraft engines. The objective of this study is to develop an analytical model and predict its behavior under various conditions. The acoustic liners consist of perforated metal sheets and honeycomb cavities, which are essential for noise reduction in aircraft engines. The model is tested for variations in natural frequency, mode number (m), size effects (e0a), viscous constant (C), temperature (T), localness factor (L), and stiffness constant (K). A hybrid deep neural network–based white shark algorithm (DNN-WSA) is used to predict and optimize the performance of nanoresonator-coupled nanotube systems. Four theories were compared, such as wave propagation theory, nonlocal elasticity theory, polynomial eigenvalue approach, and governing equations with respect to natural frequencies in nanoresonator-coupled nanotube systems. The wave propagation theory yielded the lowest natural frequency, which was selected for detailed analysis. The optimized values of size effect of 2 nm, temperature of 5 K, and frequency of 1.971975 THz were obtained. When C = 0.3, K = 10, T = 300, and L = 10×e−9, the root mean square error (RMSE) value is 0.8421, which indicates improved predictive performance as it continues to decrease. The study’s findings showed that changes in viscous constants impact natural frequencies, while size effects have a minor influence. Temperature variations also affect natural frequencies, with higher temperatures leading to higher frequencies. The optimized model demonstrates enhanced predictive performance, which contributes to a better understanding of nanoresonator systems and their application in noise reduction for aircraft engines.
本研究探讨了由耦合纳米管和石墨烯纳米颗粒组成的纳米声纳系统在提高飞机发动机声衬性能方面的潜力。本研究的目的是建立一个分析模型,并预测其在各种条件下的行为。隔音衬垫由穿孔金属板和蜂窝空腔组成,对飞机发动机降噪至关重要。该模型针对固有频率、模态数 (m)、尺寸效应 (e0a)、粘性常数 (C)、温度 (T)、局部系数 (L) 和刚度常数 (K) 的变化进行了测试。基于深度神经网络的混合白鲨算法(DNN-WSA)用于预测和优化纳米谐振器耦合纳米管系统的性能。比较了四种理论,如波传播理论、非局部弹性理论、多项式特征值方法以及纳米谐振器耦合纳米管系统固有频率的治理方程。波传播理论得出了最低的固有频率,因此被选中进行详细分析。得到了尺寸效应为 2 nm、温度为 5 K、频率为 1.971975 THz 的优化值。当 C = 0.3、K = 10、T = 300 和 L = 10×e-9 时,均方根误差(RMSE)值为 0.8421,这表明随着均方根误差的不断减小,预测性能得到了改善。研究结果表明,粘性常数的变化会影响固有频率,而尺寸效应的影响较小。温度变化也会影响固有频率,温度越高,频率越高。优化后的模型显示出更强的预测性能,有助于更好地了解纳米谐振器系统及其在飞机发动机降噪中的应用。
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引用次数: 0
A hybrid of the fractional Vieta–Lucas functions and its application in constrained fractional optimal control systems containing delay 分数 Vieta-Lucas 函数的混合函数及其在包含延迟的受约束分数最优控制系统中的应用
IF 2.8 3区 工程技术 Q2 ACOUSTICS Pub Date : 2024-08-31 DOI: 10.1177/10775463241273027
Hamid Reza Marzban, Atiyeh Nezami
In this investigation, a novel framework is devised to study an important category of fractional-order systems. The fractional Vieta–Lucas functions (FVLFs) and a hybrid of the block-pulse functions (BPFs) with the mentioned functions are introduced. The advantages of the proposed basis are clarified and a novel integral operator is further constructed based on the Riemann–Liouville integral operator. An innovative spectral collocation methodology is introduced. By utilizing the new fractional basis, the principal problem is changed into a simple optimization one containing unspecified parameters. The developed discretization scheme is robust and produces very satisfactory results for constrained complex physical systems containing delays. Four benchmark problems are examined to verify the capability of the method. The experimental outputs certify the exactness and usefulness of the new methodology.
在这项研究中,设计了一个新框架来研究一类重要的分数阶系统。其中引入了分数 Vieta-Lucas 函数(FVLFs)以及块脉冲函数(BPFs)与上述函数的混合函数。阐明了所提议的基础的优势,并基于黎曼-刘维尔积分算子进一步构建了新的积分算子。此外,还介绍了一种创新的频谱配位方法。通过利用新的分数基础,主问题变成了一个包含未指定参数的简单优化问题。所开发的离散化方案非常稳健,对于包含延迟的受约束复杂物理系统,能产生非常令人满意的结果。研究了四个基准问题,以验证该方法的能力。实验结果证明了新方法的精确性和实用性。
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引用次数: 0
Vibration wave propagation and band-gap effects in floating slab track: Theoretical analysis and experimental measurements 浮动板轨道中的振动波传播和带隙效应:理论分析和实验测量
IF 2.8 3区 工程技术 Q2 ACOUSTICS Pub Date : 2024-08-30 DOI: 10.1177/10775463241275793
Xinhao Zhang, Mingjing Geng, Caiyou Zhao, Qiang Yi, Ping Wang, Tao Lu
Steel-spring floating slab track is widely used in special vibration-damping sections of urban rail transit because of its good vibration-damping performance. However, in engineering practice, bottlenecks such as the nature of elastic wave coupling with environmental media and elastic wave modulation have not yet been established as theoretical analysis and experimental measurement methods. In this paper, based on the energy generalized variational principle of the physical properties of elastic waves, a joint analytical model of the three-dimensional steel-spring floating slab track periodic structure is established. The dispersion curves and eight bandgap characteristics in the complex domain are obtained. It is verified that the vibration acceleration response of the track structure is caused by the intersection of the dispersion curve and the load moving line. And the bandgap can effectively suppress the Doppler phenomenon.
钢弹簧浮置板轨道因其良好的减振性能,被广泛应用于城市轨道交通的特殊减振路段。然而,在工程实践中,弹性波与环境介质耦合性质、弹性波调制等瓶颈问题尚未建立理论分析和实验测量方法。本文基于弹性波物理特性的能量广义变分原理,建立了三维钢弹簧浮置板轨道周期结构的联合解析模型。得到了复域中的频散曲线和八个带隙特性。验证了轨道结构的振动加速度响应是由频散曲线和载荷移动线的交点引起的。带隙能有效抑制多普勒现象。
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引用次数: 0
Dynamic event-triggered adaptive fuzzy asymptotic tracking of constrained nonlinear systems with applications 受约束非线性系统的动态事件触发自适应模糊渐近跟踪及其应用
IF 2.8 3区 工程技术 Q2 ACOUSTICS Pub Date : 2024-08-30 DOI: 10.1177/10775463241273046
Yuan-Yuan Li, Yuan-Xin Li
This article investigates the fuzzy event-triggered asymptotic tracking control of nonlinear systems with full state constraints. First, to approximate unknown nonlinearity, the fuzzy logic system is employed. Second, the “explosion of complexity” issue is tackled by developing an improved dynamic surface technique. Additionally, a new Barrier Lyapunov function is introduced to make sure state constraints are not violated. Particularly, an efficient dynamic event-triggered control scheme is presented by introducing an auxiliary dynamic variable, which can not only greatly save communication resources but also achieve asymptotic tracking. Ultimately, validations are illustrated through two simulation examples.
本文研究了具有完全状态约束的非线性系统的模糊事件触发渐近跟踪控制。首先,为了近似未知非线性,采用了模糊逻辑系统。其次,通过开发一种改进的动态曲面技术来解决 "复杂性爆炸 "问题。此外,还引入了一个新的 Barrier Lyapunov 函数,以确保不违反状态约束。特别是,通过引入辅助动态变量,提出了一种高效的动态事件触发控制方案,不仅能大大节省通信资源,还能实现渐近跟踪。最后,通过两个仿真实例进行了验证。
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引用次数: 0
Completely distributed collision-free cooperative control for underactuated unmanned surface vessels with edge weighted interaction 具有边缘加权交互作用的欠驱动无人水面舰艇的完全分布式无碰撞协同控制
IF 2.8 3区 工程技术 Q2 ACOUSTICS Pub Date : 2024-08-29 DOI: 10.1177/10775463241271859
Yuzhou Song, Bing Huang, Jianming Miao, Cheng Zhu, Jiayuan Zhuang
This paper develops a completely distributed cooperative tracking control scheme for underactuated unmanned surface vessels (USVs), which is potential to perform formation tracking or transformation with local position information and partial parameter adjustment. In light of the designed edge weights and the underlying topology, each USV is capable of asymptotically tracking the reference signals generated by the virtual leader while ensuring collision-free performance throughout the entire formation process. Specifically, for each follower, a completely distributed extended state observer (ESO) is constructed to estimate the leader states, only using the self-velocity and relative position of neighbors, regardless of the velocity of neighbors and the global information of topology. Then, the energy factor is designed according to the relative displacement of neighbors, and we assign the energy factor to the edges of the local digraph of each follower to form the local weight net. The weight force generated by the local weight net enables the follower to track the leaders with preset formation configuration and avoid collisions as well. Thus, the formation security can be enhanced. Finally, theoretical analysis and numerous simulation examples are carried out to illustrate the effectiveness of the proposed scheme.
本文为欠驱动无人水面舰艇(USV)开发了一种完全分布式协同跟踪控制方案,该方案具有利用本地位置信息和部分参数调整来执行编队跟踪或变换的潜力。根据设计的边缘权重和底层拓扑结构,每艘 USV 都能渐近跟踪虚拟领导者生成的参考信号,同时确保整个编队过程中的无碰撞性能。具体来说,对于每个跟随者,构建一个完全分布式的扩展状态观测器(ESO)来估计领导者的状态,只使用自速度和邻居的相对位置,而不考虑邻居的速度和拓扑的全局信息。然后,根据邻域的相对位移设计能量因子,并将能量因子分配给每个跟随者的局部数字图的边,形成局部权重网。局部权重网产生的权重力能使追随者跟踪预设队形配置的领导者,并避免碰撞。因此,编队的安全性得以提高。最后,通过理论分析和大量仿真实例说明了所提方案的有效性。
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引用次数: 0
Parametric-margin projection twin support matrix machine and its application in fault diagnosis of roller bearing 参数边际投影双支持矩阵机及其在滚子轴承故障诊断中的应用
IF 2.8 3区 工程技术 Q2 ACOUSTICS Pub Date : 2024-08-29 DOI: 10.1177/10775463241276645
Meng Wang, Anbo Tang, Nenggang Xie, Haiyang Pan
Support matrix machine (SMM) is an innovative classifier that accepts matrix as inputs to make full use of the structure information between matrices. However, SMM aims at constructing two parallel hyperplanes to segment different types of samples, which makes the model inflexible and sensitive to the impact of noise, resulting in poor performance on complex data classification. Given this consideration, a novel parametric-margin projection twin support matrix machine (PPTSMM) is proposed in this paper. PPTSMM introduces the additional regularization term, which is the parametric-margin between the projected centers of the two classes, and the separability of projected classes based on the parametric-margin rather than unit distance. Meanwhile, the slack vector is employed for reformulating the within-class least square loss in PPTSMM, which address the time-consuming matrix inverse operation to reduce the complexity of calculations. Two kinds of roller bearing fault signals are used to analysis the performance of PPTSMM, and the analysis results indicate that PPTSMM is effective to reduce the impact of noise and computation time in fault diagnosis of roller bearing.
支持矩阵机(SMM)是一种创新的分类器,它接受矩阵作为输入,充分利用矩阵之间的结构信息。然而,SMM 的目标是构建两个平行的超平面来分割不同类型的样本,这使得该模型缺乏灵活性,对噪声的影响也很敏感,从而导致其在复杂数据分类方面表现不佳。鉴于此,本文提出了一种新颖的参数边际投影双支持矩阵机(PPTSMM)。PPTSMM 引入了额外的正则项,即两个类的投影中心之间的参数边际,并根据参数边际而不是单位距离来确定投影类的可分离性。同时,在 PPTSMM 中采用松弛向量重新计算类内最小平方损失,解决了耗时的矩阵逆运算问题,降低了计算的复杂性。利用两种滚子轴承故障信号分析了 PPTSMM 的性能,分析结果表明 PPTSMM 能有效降低噪声的影响,减少滚子轴承故障诊断的计算时间。
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引用次数: 0
Robust fault-tolerant preview control of linear parameter-varying discrete-time systems 线性参数变化离散时间系统的鲁棒容错预览控制
IF 2.8 3区 工程技术 Q2 ACOUSTICS Pub Date : 2024-08-29 DOI: 10.1177/10775463241271779
Li Li, Chen Jia
This study presents a new fault-tolerant preview tracking control (FTPTC) method using linear fractional representation (LFR) with regard to discrete-time linear parameter-varying (LPV) systems. To achieve preview tracking performance, a design strategy for a stable controller with integral, fault estimation, and preview actions is adopted. First, a fault estimation methodology for an LPV/LFR system with an actuator failure and external interference is developed utilizing the state observer approach. Next, based on the obtained fault estimation information, an equivalent augmented model including future information on reference signals, is developed, which converts preview tracking control (PTC) problem to a stabilization problem. Less conservative stability conditions for LPV have developed. Lastly, we performed two instances to validate the efficiency of the control approach that was proposed.
本研究针对离散时间线性参数变化(LPV)系统,提出了一种使用线性分数表示(LFR)的新型容错预览跟踪控制(FTPTC)方法。为了实现预览跟踪性能,采用了一种包含积分、故障估计和预览动作的稳定控制器设计策略。首先,利用状态观测器方法开发了一种故障估计方法,适用于存在执行器故障和外部干扰的 LPV/LFR 系统。接着,根据获得的故障估计信息,开发了一个包含未来参考信号信息的等效增强模型,从而将预览跟踪控制(PTC)问题转换为稳定问题。为 LPV 制定了不太保守的稳定条件。最后,我们执行了两个实例来验证所提出的控制方法的效率。
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引用次数: 0
Dynamic response of a pipe conveying pulsating fluid under random vibration 输送脉动流体的管道在随机振动下的动态响应
IF 2.8 3区 工程技术 Q2 ACOUSTICS Pub Date : 2024-08-28 DOI: 10.1177/10775463241272813
Wei Li, Huailiang Zhang, Wei Qu, Zihan Liu, Qingqing Yang
This paper studies the dynamic response of a pipe conveying pulsating fluid under random vibration. Its nonlinear equation of motion is first developed using the method of Newton. The method of Galerkin is then used to discretize the equation of motion into a system of ordinary differential equations. Afterwards, the statistical moments and mean peak values of the displacement and velocity responses of the pipe are obtained using an efficient Monte Carlo simulation (MCS) method based on the explicit time-domain method (ETDM). Furthermore, the displacement-sensitive and velocity-sensitive locations of the pipe are obtained for different boundary conditions. The impacts of the fluid, random vibration, and structural parameters on the mean peak value of the dynamic response of the pipe are finally analyzed. The obtained results provide a reference for better understanding the dynamic characteristics of pulsating fluid transport pipes under random vibration and for accurately designing pipe structures.
本文研究了输送脉动流体的管道在随机振动下的动态响应。首先使用牛顿法建立了其非线性运动方程。然后使用 Galerkin 方法将运动方程离散化为常微分方程系统。然后,利用基于显式时域法(ETDM)的高效蒙特卡罗模拟(MCS)方法,获得管道位移和速度响应的统计矩和平均峰值。此外,还获得了不同边界条件下管道的位移敏感点和速度敏感点。最后分析了流体、随机振动和结构参数对管道动态响应平均峰值的影响。所得结果为更好地理解随机振动下脉动流体输送管道的动态特性以及精确设计管道结构提供了参考。
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引用次数: 0
期刊
Journal of Vibration and Control
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